Wall clock time and date at job start Tue Mar 31 2020 21:38:11 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.53006 * 1 3 3 H 1.08997 * 109.51170 * 2 1 4 4 C 1.53298 * 109.51033 * 239.85731 * 2 1 3 5 5 N 1.47153 * 108.38338 * 187.74211 * 4 2 1 6 6 C 1.34773 * 120.98827 * 230.60063 * 5 4 2 7 7 O 1.21284 * 119.99805 * 179.97438 * 6 5 4 8 8 C 1.50694 * 119.99930 * 359.97438 * 6 5 4 9 9 C 1.53001 * 109.47181 * 179.97438 * 8 6 5 10 10 C 1.53777 * 113.61617 * 274.14078 * 9 8 6 11 11 C 1.53956 * 87.02346 * 220.04464 * 10 9 8 12 12 C 1.53779 * 113.61948 * 176.52907 * 9 8 6 13 13 C 1.47156 * 118.02027 * 50.58047 * 5 4 2 14 14 C 1.53251 * 108.40022 * 309.51010 * 13 5 4 15 15 C 1.52992 * 109.37822 * 172.13781 * 14 13 5 16 16 C 1.53196 * 109.34609 * 181.16038 * 15 14 13 17 17 N 1.46934 * 108.76567 * 305.41906 * 16 15 14 18 18 C 1.36943 * 120.63701 * 233.64821 * 17 16 15 19 19 H 1.07992 * 119.99565 * 152.30520 * 18 17 16 20 20 C 1.38813 * 119.99948 * 332.30714 * 18 17 16 21 21 N 1.31622 * 120.00063 * 342.59642 * 20 18 17 22 22 Si 1.86798 * 119.99752 * 162.58856 * 20 18 17 23 23 H 1.48502 * 109.46821 * 94.35085 * 22 20 18 24 24 H 1.48503 * 109.47237 * 214.35149 * 22 20 18 25 25 H 1.48503 * 109.47259 * 334.35362 * 22 20 18 26 26 C 1.46921 * 118.72371 * 53.67754 * 17 16 15 27 27 C 1.52982 * 109.38932 * 292.22997 * 14 13 5 28 28 O 1.42904 * 109.31963 * 52.19136 * 14 13 5 29 29 H 1.08997 * 109.46940 * 299.89769 * 1 2 3 30 30 H 1.08996 * 109.47100 * 179.89702 * 1 2 3 31 31 H 1.09005 * 109.46847 * 59.90210 * 1 2 3 32 32 H 1.09001 * 109.68179 * 307.46197 * 4 2 1 33 33 H 1.09000 * 109.67966 * 68.01964 * 4 2 1 34 34 H 1.09001 * 109.47588 * 300.00032 * 8 6 5 35 35 H 1.08999 * 109.47290 * 60.00309 * 8 6 5 36 36 H 1.09005 * 112.84803 * 45.33802 * 9 8 6 37 37 H 1.09000 * 113.61400 * 334.56332 * 10 9 8 38 38 H 1.09001 * 113.62123 * 105.46838 * 10 9 8 39 39 H 1.09001 * 113.53796 * 270.81304 * 11 10 9 40 40 H 1.08996 * 113.74668 * 139.94000 * 11 10 9 41 41 H 1.08996 * 113.61722 * 254.53662 * 12 9 8 42 42 H 1.09010 * 113.61054 * 25.43428 * 12 9 8 43 43 H 1.09001 * 109.67802 * 189.78300 * 13 5 4 44 44 H 1.09002 * 109.71338 * 69.25866 * 13 5 4 45 45 H 1.08999 * 109.48716 * 301.11594 * 15 14 13 46 46 H 1.08997 * 109.48990 * 61.19428 * 15 14 13 47 47 H 1.08997 * 109.58478 * 185.63354 * 16 15 14 48 48 H 1.08995 * 109.70545 * 65.27849 * 16 15 14 49 49 H 0.96995 * 119.99379 * 180.02562 * 21 20 18 50 50 H 1.08991 * 109.58706 * 186.54140 * 26 17 16 51 51 H 1.09006 * 109.70548 * 66.18191 * 26 17 16 52 52 H 1.08996 * 109.49370 * 298.82123 * 27 14 13 53 53 H 1.09008 * 109.49394 * 58.87134 * 27 14 13 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5301 0.0000 0.0000 3 1 1.8941 1.0274 0.0000 4 6 2.0420 -0.7256 -1.2496 5 7 3.5013 -0.8759 -1.1338 6 6 4.3192 -0.5024 -2.1377 7 8 5.5194 -0.6339 -2.0229 8 6 3.7424 0.0785 -3.4029 9 6 4.8768 0.4162 -4.3725 10 6 5.4894 1.8079 -4.1431 11 6 5.5503 1.9453 -5.6753 12 6 4.3887 0.9392 -5.7337 13 6 4.0409 -1.4456 0.1111 14 6 3.4307 -0.6871 1.2947 15 6 3.8212 -1.3837 2.5997 16 6 3.1869 -0.6417 3.7804 17 7 3.5740 0.7741 3.7120 18 6 4.1569 1.3909 4.7867 19 1 4.8241 2.2261 4.6334 20 6 3.8901 0.9426 6.0731 21 7 2.8442 0.1762 6.2992 22 14 5.0156 1.4269 7.4831 23 1 4.4730 2.6336 8.1574 24 1 5.0968 0.3096 8.4578 25 1 6.3716 1.7227 6.9549 26 6 3.3231 1.5154 2.4685 27 6 3.9555 0.7498 1.3020 28 8 2.0075 -0.6759 1.1659 29 1 -0.3633 0.5122 0.8909 30 1 -0.3633 -1.0276 -0.0018 31 1 -0.3633 0.5154 -0.8892 32 1 1.5762 -1.7085 -1.3200 33 1 1.8025 -0.1407 -2.1376 34 1 3.0737 -0.6480 -3.8645 35 1 3.1858 0.9851 -3.1657 36 1 5.6177 -0.3795 -4.4507 37 1 4.8067 2.5126 -3.6684 38 1 6.4696 1.7806 -3.6670 39 1 6.4763 1.5686 -6.1097 40 1 5.2862 2.9387 -6.0377 41 1 4.4813 0.2115 -6.5399 42 1 3.4043 1.4060 -5.6946 43 1 5.1254 -1.3364 0.1249 44 1 3.7777 -2.5014 0.1766 45 1 3.4642 -2.4134 2.5831 46 1 4.9060 -1.3760 2.7055 47 1 3.5423 -1.0729 4.7163 48 1 2.1016 -0.7268 3.7278 49 1 2.6577 -0.1367 7.1982 50 1 3.7682 2.5077 2.5386 51 1 2.2491 1.6072 2.3057 52 1 5.0393 0.7406 1.4180 53 1 3.6945 1.2372 0.3625 RHF calculation, no. of doubly occupied orbitals= 65 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001098580525.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:38:11 Heat of formation + Delta-G solvation = -38.636334 kcal Electronic energy + Delta-G solvation = -31547.170979 eV Core-core repulsion = 27612.989375 eV Total energy + Delta-G solvation = -3934.181604 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.32 seconds Orbital eigenvalues (eV) -40.77891 -39.43010 -38.11000 -36.37213 -34.56268 -33.56105 -31.61135 -30.94475 -30.10451 -29.50692 -27.19442 -26.24985 -25.80656 -24.44875 -23.26819 -22.57880 -21.66440 -20.73699 -19.61702 -19.10013 -18.91576 -17.19500 -16.93589 -16.36579 -15.91103 -15.48866 -15.41575 -14.92594 -14.71768 -14.64517 -14.27790 -13.83881 -13.73792 -13.46568 -13.28771 -13.10823 -12.78512 -12.66818 -12.61760 -12.40527 -12.14526 -12.02807 -11.74956 -11.64215 -11.57789 -11.39781 -11.29045 -10.99559 -10.83403 -10.77756 -10.61685 -10.52639 -10.41399 -10.34566 -10.23063 -10.05465 -9.82259 -9.70566 -9.47867 -9.29353 -8.41231 -8.35667 -6.60596 -5.74063 -3.15474 2.60730 2.88101 3.39853 3.47192 3.50133 3.88905 4.21044 4.40174 4.45257 4.53565 4.62706 4.68056 4.69747 4.85363 5.06788 5.09981 5.15413 5.17034 5.25262 5.32557 5.36776 5.42206 5.47074 5.48355 5.50618 5.56265 5.60563 5.65077 5.65863 5.69517 5.80365 5.89370 5.90779 5.98995 6.04859 6.07280 6.17435 6.29930 6.32221 6.35095 6.37757 6.56386 6.59880 6.70452 6.77820 7.03477 7.35015 7.44513 7.63286 7.77368 7.84237 8.14934 8.49862 9.26716 9.90396 10.48146 11.34299 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.016862 B = 0.003040 C = 0.002809 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1660.117288 B = 9207.011821 C = 9966.547045 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.069 3.931 3 H 0.066 0.934 4 C 0.079 3.921 5 N -0.613 5.613 6 C 0.515 3.485 7 O -0.539 6.539 8 C -0.131 4.131 9 C -0.094 4.094 10 C -0.134 4.134 11 C -0.143 4.143 12 C -0.138 4.138 13 C 0.088 3.912 14 C 0.120 3.880 15 C -0.126 4.126 16 C 0.179 3.821 17 N -0.590 5.590 18 C -0.251 4.251 19 H 0.064 0.936 20 C 0.002 3.998 21 N -0.901 5.901 22 Si 0.900 3.100 23 H -0.288 1.288 24 H -0.290 1.290 25 H -0.279 1.279 26 C 0.153 3.847 27 C -0.151 4.151 28 O -0.353 6.353 29 H 0.070 0.930 30 H 0.063 0.937 31 H 0.067 0.933 32 H 0.075 0.925 33 H 0.088 0.912 34 H 0.092 0.908 35 H 0.092 0.908 36 H 0.098 0.902 37 H 0.078 0.922 38 H 0.070 0.930 39 H 0.078 0.922 40 H 0.066 0.934 41 H 0.066 0.934 42 H 0.080 0.920 43 H 0.097 0.903 44 H 0.069 0.931 45 H 0.057 0.943 46 H 0.070 0.930 47 H 0.086 0.914 48 H 0.028 0.972 49 H 0.253 0.747 50 H 0.049 0.951 51 H 0.020 0.980 52 H 0.067 0.933 53 H 0.049 0.951 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.787 -1.299 -22.890 23.096 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.199 4.199 2 C 0.010 3.990 3 H 0.084 0.916 4 C -0.045 4.045 5 N -0.346 5.346 6 C 0.303 3.697 7 O -0.416 6.416 8 C -0.170 4.170 9 C -0.113 4.113 10 C -0.172 4.172 11 C -0.180 4.180 12 C -0.175 4.175 13 C -0.034 4.034 14 C 0.080 3.920 15 C -0.166 4.166 16 C 0.053 3.947 17 N -0.313 5.313 18 C -0.381 4.381 19 H 0.081 0.919 20 C -0.197 4.197 21 N -0.546 5.546 22 Si 0.730 3.270 23 H -0.215 1.215 24 H -0.216 1.216 25 H -0.205 1.205 26 C 0.027 3.973 27 C -0.191 4.191 28 O -0.272 6.272 29 H 0.089 0.911 30 H 0.082 0.918 31 H 0.086 0.914 32 H 0.093 0.907 33 H 0.107 0.893 34 H 0.110 0.890 35 H 0.111 0.889 36 H 0.116 0.884 37 H 0.096 0.904 38 H 0.089 0.911 39 H 0.097 0.903 40 H 0.085 0.915 41 H 0.085 0.915 42 H 0.099 0.901 43 H 0.116 0.884 44 H 0.088 0.912 45 H 0.076 0.924 46 H 0.088 0.912 47 H 0.104 0.896 48 H 0.046 0.954 49 H 0.063 0.937 50 H 0.068 0.932 51 H 0.038 0.962 52 H 0.085 0.915 53 H 0.068 0.932 Dipole moment (debyes) X Y Z Total from point charges -2.305 -1.517 -22.527 22.695 hybrid contribution 0.558 0.280 0.573 0.848 sum -1.747 -1.237 -21.954 22.058 Atomic orbital electron populations 1.21702 0.92620 1.02936 1.02684 1.22385 0.95214 0.96104 0.85297 0.91641 1.22530 0.80279 1.01845 0.99802 1.48194 1.06759 1.63051 1.16646 1.20682 0.86723 0.77605 0.84651 1.90685 1.14841 1.54970 1.81058 1.21728 0.99594 1.02112 0.93614 1.22337 0.96940 0.98154 0.93843 1.22964 1.01802 0.96424 0.95980 1.22824 0.98813 0.99425 0.96950 1.22979 0.98652 0.98856 0.97048 1.22463 1.00805 0.97242 0.82927 1.21738 0.80441 0.95415 0.94407 1.22199 1.01086 0.98636 0.94665 1.20675 0.96222 0.83164 0.94667 1.44034 1.71059 1.06066 1.10141 1.19175 1.19599 1.14726 0.84590 0.91852 1.25022 0.96732 1.00582 0.97323 1.70047 1.25466 1.38781 1.20266 0.86323 0.80771 0.77590 0.82355 1.21536 1.21568 1.20465 1.20751 0.96397 0.93863 0.86320 1.22510 1.01398 0.95767 0.99389 1.88076 1.20988 1.76301 1.41822 0.91051 0.91805 0.91416 0.90659 0.89350 0.88981 0.88945 0.88359 0.90362 0.91147 0.90295 0.91546 0.91522 0.90116 0.88449 0.91249 0.92389 0.91176 0.89566 0.95433 0.93708 0.93228 0.96213 0.91471 0.93218 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.14 -1.49 9.57 37.16 0.36 -1.13 16 2 C 0.07 0.88 3.01 -26.57 -0.08 0.80 16 3 H 0.07 0.90 6.29 -51.93 -0.33 0.57 16 4 C 0.08 0.82 5.83 -3.53 -0.02 0.80 16 5 N -0.61 -8.03 2.52 -172.30 -0.43 -8.46 16 6 C 0.51 6.84 7.71 -10.99 -0.08 6.76 16 7 O -0.54 -9.13 15.26 5.55 0.08 -9.04 16 8 C -0.13 -1.19 3.90 -27.89 -0.11 -1.30 16 9 C -0.09 -0.88 3.11 -89.81 -0.28 -1.16 16 10 C -0.13 -1.29 7.65 -25.83 -0.20 -1.48 16 11 C -0.14 -1.10 8.09 -25.82 -0.21 -1.31 16 12 C -0.14 -0.99 7.65 -25.92 -0.20 -1.19 16 13 C 0.09 1.34 5.29 -3.55 -0.02 1.32 16 14 C 0.12 2.07 0.68 -90.50 -0.06 2.01 16 15 C -0.13 -2.45 5.10 -26.63 -0.14 -2.59 16 16 C 0.18 4.32 5.08 -3.70 -0.02 4.31 16 17 N -0.59 -15.04 2.99 -172.32 -0.52 -15.56 16 18 C -0.25 -7.00 9.59 -15.06 -0.14 -7.14 16 19 H 0.06 1.74 7.89 -52.49 -0.41 1.33 16 20 C 0.00 0.05 4.91 -17.43 -0.09 -0.03 16 21 N -0.90 -26.39 11.19 55.49 0.62 -25.77 16 22 Si 0.90 21.91 29.59 -169.99 -5.03 16.88 16 23 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 24 H -0.29 -7.07 7.11 56.52 0.40 -6.67 16 25 H -0.28 -6.70 7.11 56.52 0.40 -6.29 16 26 C 0.15 3.32 6.28 -3.71 -0.02 3.30 16 27 C -0.15 -2.77 4.32 -26.64 -0.12 -2.89 16 28 O -0.35 -6.01 8.65 -35.23 -0.30 -6.32 16 29 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 30 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 31 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 32 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 33 H 0.09 0.66 6.05 -51.93 -0.31 0.35 16 34 H 0.09 0.66 8.02 -51.93 -0.42 0.24 16 35 H 0.09 0.73 7.39 -51.93 -0.38 0.34 16 36 H 0.10 1.08 7.73 -51.93 -0.40 0.68 16 37 H 0.08 0.72 7.92 -51.93 -0.41 0.31 16 38 H 0.07 0.78 8.14 -51.93 -0.42 0.36 16 39 H 0.08 0.59 8.14 -51.93 -0.42 0.17 16 40 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 41 H 0.07 0.44 8.14 -51.93 -0.42 0.01 16 42 H 0.08 0.50 8.10 -51.92 -0.42 0.08 16 43 H 0.10 1.62 7.07 -51.93 -0.37 1.25 16 44 H 0.07 1.01 8.14 -51.93 -0.42 0.58 16 45 H 0.06 1.03 8.14 -51.93 -0.42 0.60 16 46 H 0.07 1.37 8.14 -51.93 -0.42 0.94 16 47 H 0.09 2.33 6.04 -51.93 -0.31 2.01 16 48 H 0.03 0.72 7.83 -51.93 -0.41 0.31 16 49 H 0.25 7.15 8.31 -40.82 -0.34 6.81 16 50 H 0.05 1.07 7.93 -51.93 -0.41 0.65 16 51 H 0.02 0.44 7.83 -51.93 -0.41 0.03 16 52 H 0.07 1.31 8.14 -51.93 -0.42 0.89 16 53 H 0.05 0.83 6.15 -51.92 -0.32 0.51 16 LS Contribution 397.53 15.07 5.99 5.99 Total: -1.00 -32.09 397.53 -10.53 -42.63 By element: Atomic # 1 Polarization: 10.09 SS G_CDS: -9.52 Total: 0.57 kcal Atomic # 6 Polarization: 0.50 SS G_CDS: -1.43 Total: -0.92 kcal Atomic # 7 Polarization: -49.46 SS G_CDS: -0.33 Total: -49.79 kcal Atomic # 8 Polarization: -15.14 SS G_CDS: -0.22 Total: -15.36 kcal Atomic # 14 Polarization: 21.91 SS G_CDS: -5.03 Total: 16.88 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -32.09 -10.53 -42.63 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001098580525.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute 3.993 kcal (2) G-P(sol) polarization free energy of solvation -32.095 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -28.102 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.535 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.629 kcal (6) G-S(sol) free energy of system = (1) + (5) -38.636 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.32 seconds